{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T20:17:28Z","timestamp":1783196248592,"version":"3.54.6"},"reference-count":50,"publisher":"Elsevier BV","issue":"9","license":[{"start":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T00:00:00Z","timestamp":1780272000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T00:00:00Z","timestamp":1780272000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"}],"funder":[{"DOI":"10.13039\/501100012131","name":"Department of Science and Technology of Liaoning Province","doi-asserted-by":"publisher","award":["2024-MSLH-374"],"award-info":[{"award-number":["2024-MSLH-374"]}],"id":[{"id":"10.13039\/501100012131","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010086","name":"Foundation of Liaoning Province Education Administration","doi-asserted-by":"publisher","award":["LJ212410142127"],"award-info":[{"award-number":["LJ212410142127"]}],"id":[{"id":"10.13039\/501100010086","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100007620","name":"Department of Education of Liaoning Province","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100007620","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62073167"],"award-info":[{"award-number":["62073167"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of the Franklin Institute"],"published-print":{"date-parts":[[2026,6]]},"DOI":"10.1016\/j.jfranklin.2026.108694","type":"journal-article","created":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T07:47:52Z","timestamp":1777535272000},"page":"108694","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"title":["Filter design for positive singular Markov jump systems under event-triggered communication strategy"],"prefix":"10.1016","volume":"363","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3266-2407","authenticated-orcid":false,"given":"Di","family":"Zhang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0008-8483-6126","authenticated-orcid":false,"given":"Shenbo","family":"Yu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Baozhu","family":"Du","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.jfranklin.2026.108694_bib0001","series-title":"Positive Linear Systems: Theory and Applications","author":"Farina","year":"2000"},{"key":"10.1016\/j.jfranklin.2026.108694_bib0002","series-title":"Positive 1D and 2D Systems","author":"Kaczorek","year":"2002"},{"issue":"4","key":"10.1016\/j.jfranklin.2026.108694_bib0003","doi-asserted-by":"crossref","first-page":"889","DOI":"10.1109\/LCSYS.2019.2918757","article-title":"No switching policy is optimal for a positive linear system with a bottleneck entrance","volume":"3","author":"Sadeghi","year":"2019","journal-title":"IEEE Control Syst. Lett."},{"issue":"3","key":"10.1016\/j.jfranklin.2026.108694_bib0004","doi-asserted-by":"crossref","first-page":"616","DOI":"10.1109\/TNET.2006.876178","article-title":"A positive systems model of TCP-like congestion control: asymptotic results","volume":"14","author":"Shorten","year":"2006","journal-title":"IEEE\/ACM Trans. Netw."},{"issue":"3\u20134","key":"10.1016\/j.jfranklin.2026.108694_bib0005","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1561\/2600000006","article-title":"Positive Markov jump linear systems","volume":"2","author":"Bolzern","year":"2015","journal-title":"Found. Trends Syst. Control"},{"key":"10.1016\/j.jfranklin.2026.108694_bib0006","series-title":"IFAC Proceedings Volumes","first-page":"138","article-title":"Hybrid positive systems subject to Markovian switching","volume":"42","author":"Rami","year":"2009"},{"key":"10.1016\/j.jfranklin.2026.108694_bib0007","doi-asserted-by":"crossref","DOI":"10.1016\/j.aml.2022.108449","article-title":"Necessary and sufficient conditions for moment stability of positive Markov jump linear systems","volume":"136","author":"Liu","year":"2023","journal-title":"Appl. Math. Lett."},{"issue":"4","key":"10.1016\/j.jfranklin.2026.108694_bib0008","doi-asserted-by":"crossref","first-page":"1181","DOI":"10.1016\/j.automatica.2014.02.016","article-title":"Stochastic stability of positive Markov jump linear systems","volume":"50","author":"Bolzern","year":"2014","journal-title":"Automatica"},{"key":"10.1016\/j.jfranklin.2026.108694_bib0009","article-title":"Stochastic stability of positive Markov jump linear systems with fixed dwell time","volume":"40","author":"Lian","year":"2021","journal-title":"Nonlinear Anal.: Hybrid Syst."},{"key":"10.1016\/j.jfranklin.2026.108694_bib0010","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2025.109076","article-title":"Dynamic event-triggered L1 control of Markov jump systems under positive constraint","author":"Yin","year":"2025","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"10.1016\/j.jfranklin.2026.108694_bib0011","doi-asserted-by":"crossref","DOI":"10.1016\/j.ins.2024.120849","article-title":"L-gain control for 2D delayed positive continuous Markov jumping systems","volume":"677","author":"Duan","year":"2024","journal-title":"Inf. Sci."},{"issue":"11","key":"10.1016\/j.jfranklin.2026.108694_bib0012","doi-asserted-by":"crossref","first-page":"2298","DOI":"10.1109\/JAS.2024.124677","article-title":"A double sensitive fault detection filter for positive Markovian jump systems with a hybrid event-triggered mechanism","volume":"11","author":"Zhang","year":"2024","journal-title":"IEEE\/CAA J. Autom. Sin."},{"issue":"3","key":"10.1016\/j.jfranklin.2026.108694_bib0013","doi-asserted-by":"crossref","first-page":"2004","DOI":"10.1109\/TSMC.2022.3205153","article-title":"Asynchronous-switching-based distributed interval filtering for positive Markov jump linear systems under denial-of-service attack","volume":"53","author":"Xie","year":"2023","journal-title":"IEEE Trans. Syst. Man Cybern.: Syst."},{"key":"10.1016\/j.jfranklin.2026.108694_bib0014","series-title":"Singular Control Systems","author":"Dai","year":"1989"},{"key":"10.1016\/j.jfranklin.2026.108694_bib0015","doi-asserted-by":"crossref","first-page":"7362","DOI":"10.1109\/TIFS.2024.3434739","article-title":"Fault detection and robust security control for implicit jump systems against random FDI attacks and packet loss under memorized output-perceptive event-triggered protocol","volume":"19","author":"Pang","year":"2024","journal-title":"IEEE Trans. Inf. Forensics Secur."},{"key":"10.1016\/j.jfranklin.2026.108694_bib0016","doi-asserted-by":"crossref","DOI":"10.1016\/j.nahs.2023.101361","article-title":"Dynamic compensator design and H\u221e admissibilization for delayed singular jump systems via Moore-Penrose generalized inversion technique","volume":"49","author":"Zhuang","year":"2023","journal-title":"Nonlinear Anal.-Hybrid Syst."},{"issue":"4","key":"10.1016\/j.jfranklin.2026.108694_bib0017","doi-asserted-by":"crossref","DOI":"10.1016\/j.jfranklin.2024.01.006","article-title":"On the \u03b1-exponential stability of linear positive singular systems with multiple time-varying delays","volume":"361","author":"Zamani","year":"2024","journal-title":"J. Frankl. Inst."},{"issue":"12","key":"10.1016\/j.jfranklin.2026.108694_bib0018","doi-asserted-by":"crossref","first-page":"7943","DOI":"10.1109\/TAC.2023.3250351","article-title":"Impulsive stability for positive linear differential-algebraic equations with time-varying delay","volume":"68","author":"Sau","year":"2023","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.jfranklin.2026.108694_bib0019","doi-asserted-by":"crossref","first-page":"170","DOI":"10.1016\/j.automatica.2018.04.026","article-title":"Stability analysis for positive singular systems with distributed delays","volume":"94","author":"Cui","year":"2018","journal-title":"Automatica"},{"issue":"9","key":"10.1016\/j.jfranklin.2026.108694_bib0020","first-page":"3534","article-title":"Stability and L\u221e-gain of positive fractional-order singular systems with time-varying delays","volume":"70","author":"Qiu","year":"2023","journal-title":"IEEE Trans. Circuits Syst. II: Express Br."},{"issue":"7","key":"10.1016\/j.jfranklin.2026.108694_bib0021","doi-asserted-by":"crossref","first-page":"905","DOI":"10.1049\/iet-cta.2018.5150","article-title":"Exponential stabilisation of positive singular linear discrete-time delay systems with bounded control","volume":"13","author":"Phat","year":"2019","journal-title":"IET Control Theory Appl."},{"issue":"2","key":"10.1016\/j.jfranklin.2026.108694_bib0022","doi-asserted-by":"crossref","first-page":"627","DOI":"10.1016\/j.jfranklin.2016.09.013","article-title":"Positivity and stability of positive singular Markovian jump time-delay systems with partially unknown transition rates","volume":"354","author":"Zhang","year":"2017","journal-title":"J. Frankl. Inst."},{"issue":"3","key":"10.1016\/j.jfranklin.2026.108694_bib0023","doi-asserted-by":"crossref","first-page":"1385","DOI":"10.1109\/TSMC.2020.3020271","article-title":"Investigation on stability of positive singular Markovian jump systems with mode-dependent derivative-term coefficient","volume":"52","author":"Zhang","year":"2022","journal-title":"IEEE Trans. Syst. Man Cybern.: Syst."},{"issue":"8","key":"10.1016\/j.jfranklin.2026.108694_bib0024","doi-asserted-by":"crossref","DOI":"10.1016\/j.jfranklin.2024.106818","article-title":"Event-based filter design for singular positive Markov jump systems with parameter uncertainty and measurement delay","volume":"361","author":"Wang","year":"2024","journal-title":"J. Frankl. Inst."},{"key":"10.1016\/j.jfranklin.2026.108694_bib0025","doi-asserted-by":"crossref","DOI":"10.1016\/j.sysconle.2024.105725","article-title":"Stability and stabilizability of positive switched discrete-time linear singular systems","volume":"185","author":"Thuan","year":"2024","journal-title":"Syst. Control Lett."},{"issue":"3","key":"10.1016\/j.jfranklin.2026.108694_bib0026","doi-asserted-by":"crossref","first-page":"1401","DOI":"10.1109\/TSMC.2023.3326549","article-title":"Positivity and saturated stabilization of singular switched positive systems under mode-dependent minimum dwell time","volume":"54","author":"Li","year":"2023","journal-title":"IEEE Trans. Syst. Man Cybern.: Syst."},{"key":"10.1016\/j.jfranklin.2026.108694_bib0027","article-title":"Nonfragile dynamic output-feedback control for positive singular systems under the switched mechanism and Round-Robin protocol","volume":"47","author":"Wang","year":"2023","journal-title":"Nonlinear Anal.: Hybrid Syst."},{"issue":"9","key":"10.1016\/j.jfranklin.2026.108694_bib0028","doi-asserted-by":"crossref","first-page":"1680","DOI":"10.1109\/TAC.2007.904277","article-title":"Event-triggered real-time scheduling of stabilizing control tasks","volume":"52","author":"Tabuada","year":"2007","journal-title":"IEEE Trans. Autom. Control"},{"issue":"2","key":"10.1016\/j.jfranklin.2026.108694_bib0029","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1109\/TAC.2012.2206694","article-title":"A delay system method for designing event-triggered controllers of networked control systems","volume":"58","author":"Yue","year":"2013","journal-title":"IEEE Trans. Autom. Control"},{"issue":"1","key":"10.1016\/j.jfranklin.2026.108694_bib0030","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1109\/TII.2016.2607150","article-title":"An overview and deep investigation on sampled-data-based event-triggered control and filtering for networked systems","volume":"13","author":"Zhang","year":"2017","journal-title":"IEEE Trans. Ind. Inform."},{"issue":"2","key":"10.1016\/j.jfranklin.2026.108694_bib0031","doi-asserted-by":"crossref","DOI":"10.1016\/j.jfranklin.2024.107494","article-title":"Hidden Markov model-based event triggered H\u221e filtering for singular Markov jump systems subject to general probabilities","volume":"362","author":"Wang","year":"2025","journal-title":"J. Frankl. Inst."},{"issue":"3","key":"10.1016\/j.jfranklin.2026.108694_bib0032","doi-asserted-by":"crossref","DOI":"10.1016\/j.jfranklin.2024.107504","article-title":"Dual switching dynamic event-triggered controls of stochastic Takagi\u2013Sugeno fuzzy semi-Markov jump systems","volume":"362","author":"Zhu","year":"2025","journal-title":"J. Frankl. Inst."},{"key":"10.1016\/j.jfranklin.2026.108694_bib0033","doi-asserted-by":"crossref","DOI":"10.1016\/j.oceaneng.2025.122725","article-title":"Model-free adaptive event-triggered path following control for underactuated autonomous surface vehicles","volume":"341","author":"Li","year":"2025","journal-title":"Ocean Eng."},{"issue":"3","key":"10.1016\/j.jfranklin.2026.108694_bib0034","doi-asserted-by":"crossref","first-page":"1928","DOI":"10.1109\/TSMC.2020.3035173","article-title":"Synchronization of coupled neural networks via an event-dependent intermittent pinning control","volume":"52","author":"Ding","year":"2022","journal-title":"IEEE Trans. Syst. Man Cybern.: Syst."},{"key":"10.1016\/j.jfranklin.2026.108694_bib0035","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2024.115597","article-title":"Adaptive dynamic event-triggered asymptotic control for uncertain nonlinear systems","volume":"189","author":"Liu","year":"2024","journal-title":"Chaos Solit. Fractals"},{"issue":"8","key":"10.1016\/j.jfranklin.2026.108694_bib0036","doi-asserted-by":"crossref","first-page":"5380","DOI":"10.1109\/TCYB.2021.3131475","article-title":"Periodic event-triggered dynamic feedback synchronization control of discrete-time neural networks","volume":"53","author":"Ding","year":"2023","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.jfranklin.2026.108694_bib0037","doi-asserted-by":"crossref","DOI":"10.1016\/j.amc.2025.129332","article-title":"LP-based mode-dependent piece-wise event-triggered finite-time L1 control for switched positive systems under MDMDT constraint","volume":"495","author":"Li","year":"2025","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.jfranklin.2026.108694_bib0038","article-title":"Adaptive event-triggered dynamic distributed control of switched positive systems with switching faults","volume":"48","author":"Zhang","year":"2023","journal-title":"Nonlinear Anal.: Hybrid Syst."},{"issue":"3","key":"10.1016\/j.jfranklin.2026.108694_bib0039","first-page":"1191","article-title":"Disturbance observer-based event-triggered control of switched positive systems","volume":"71","author":"Yang","year":"2024","journal-title":"IEEE Trans. Circuits Syst. II: Express Br."},{"issue":"15","key":"10.1016\/j.jfranklin.2026.108694_bib0040","doi-asserted-by":"crossref","first-page":"7796","DOI":"10.1016\/j.jfranklin.2022.08.024","article-title":"Event-triggered controller design for positive T-S fuzzy systems with random time-delay","volume":"359","author":"Zhang","year":"2022","journal-title":"J. Frankl. Inst."},{"issue":"2","key":"10.1016\/j.jfranklin.2026.108694_bib0041","doi-asserted-by":"crossref","first-page":"1039","DOI":"10.1109\/TAC.2022.3146709","article-title":"Event-triggered state-feedback and dynamic output-feedback control of PMJSs with intermittent faults","volume":"68","author":"Zhang","year":"2022","journal-title":"IEEE Trans. Autom. Control"},{"issue":"17","key":"10.1016\/j.jfranklin.2026.108694_bib0042","doi-asserted-by":"crossref","first-page":"9239","DOI":"10.1002\/rnc.6335","article-title":"Event-triggered positive L1 filter design for positive Markovian jump systems with quantization","volume":"32","author":"Zhang","year":"2022","journal-title":"Int. J. Robust Nonlinear Control"},{"issue":"7","key":"10.1016\/j.jfranklin.2026.108694_bib0043","doi-asserted-by":"crossref","first-page":"3120","DOI":"10.1109\/TAC.2019.2945279","article-title":"Event-triggered dynamic output feedback control for switched systems with frequent asynchronism","volume":"65","author":"Fei","year":"2020","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.jfranklin.2026.108694_bib0044","series-title":"Progress in System and Robot Analysis and Control Design","article-title":"Weakly positive continuous-time linear systems","volume":"243","author":"Kaczorek","year":"1999"},{"key":"10.1016\/j.jfranklin.2026.108694_bib0045","article-title":"L1 control for singular positive Markov jump systems based on a linear event-triggered mechanism and an LP-based method","author":"Zhang","year":"2025","journal-title":"Int. J. Robust Nonlinear Control"},{"issue":"17","key":"10.1016\/j.jfranklin.2026.108694_bib0046","doi-asserted-by":"crossref","first-page":"5957","DOI":"10.1002\/rnc.4702","article-title":"A novel approach to L1 filter design for asynchronously switched positive linear systems with dwell time","volume":"29","author":"Li","year":"2019","journal-title":"Int. J. Robust Nonlinear Control"},{"issue":"3","key":"10.1016\/j.jfranklin.2026.108694_bib0047","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1049\/iet-cta.2013.0469","article-title":"Conditions for stability of linear continuous Markovian switching singular systems","volume":"8","author":"Xiao","year":"2014","journal-title":"IET Control Theory Appl."},{"key":"10.1016\/j.jfranklin.2026.108694_bib0048","article-title":"Analysis of Positive Descriptor Systems","author":"Virnik","year":"2008"},{"key":"10.1016\/j.jfranklin.2026.108694_bib0049","article-title":"Privacy-protected formation control for unmanned surface vehicles: a neural predictor-based noncooperative game framework","author":"Liu","year":"2026","journal-title":"IEEE Trans. Veh. Technol."},{"key":"10.1016\/j.jfranklin.2026.108694_bib0050","article-title":"Distributed energy management for microgrids: when privacy preservation meets multiple mechanisms","author":"Liu","year":"2026","journal-title":"IEEE Trans. Consum. Electron."}],"container-title":["Journal of the Franklin Institute"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0016003226002942?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0016003226002942?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T19:39:27Z","timestamp":1783193967000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0016003226002942"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,6]]},"references-count":50,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2026,6]]}},"alternative-id":["S0016003226002942"],"URL":"https:\/\/doi.org\/10.1016\/j.jfranklin.2026.108694","relation":{},"ISSN":["0016-0032"],"issn-type":[{"value":"0016-0032","type":"print"}],"subject":[],"published":{"date-parts":[[2026,6]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Filter design for positive singular Markov jump systems under event-triggered communication strategy","name":"articletitle","label":"Article Title"},{"value":"Journal of the Franklin Institute","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.jfranklin.2026.108694","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 The Franklin Institute. Published by Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"108694"}}